JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

For what value of

a,\;f\left( x \right) = - {x^3} + 4a{x^2} + 2x - 5

is decreasing

\forall \;x?

View answer and explanation

Correct option: D

No value of

a

Option D (No value of

a

) is correct because the condition for the function to be decreasing for all x leads to a contradiction, implying no such value of 'a' exists.

More Questions from INCREASING & DECREASING

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)